Thermal Properties of Matter Test

Result

Thermal Properties of Matter Test - 52

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Heat is added to an ideal gas, and the gas expands. In such a process the temperature

A
must always increase

B
will remain the same if the work done equals the heat added

C
must always decrease

D
will remains the same If change in internal energy equals the heat added.

Solution

Heat is added to an ideal gas, and the gas expands must always increases.
Hence Option $$A$$ is correct.
Question 2
1 / -0

If the $$K_{a}$$ radiation of Mo has a wavelength of 0.71 $$A_{0}$$. The wavelength of the corresponding radiation of $$Cu :- [Z_{Mo}=42, Z_{Cu}=29]$$

A
0.52 $$A_{0}$$

B
1.52 $$A_{0}$$

C
2.52$$A_{0}$$

D
3.52 $$A_{0}$$

Solution
Question 3
1 / -0

Two spherical vessel of equal volumes, are connected by a narrow tube. The apparatus contains an ideal gas at one atmosphere and 300K. Now if one vessel is immersed in a bath of constant temperature 600 K and the other in a bath of constant temperature 300 K. Then the common pressure will be

A
$$1 atm$$

B
$$4/5 atm$$

C
$$4/3 atm$$

D
$$3/4 atm$$
Question 4
1 / -0

The Process of convection is faster than

A
Conduction

B
Radiation

C
Both conduction and convection

D
Neither conduction nor radiation

Solution

Convection is heat transfer by the macroscopic movement of mass. Convection can be natural or forced and generally transfers thermal energy faster than conduction.
Question 5
1 / -0

A body at $$50^oC$$ cools in a surroundings maintained at $$30^oC$$. The temperature at which the rate of cooling is half that of the beginning is:

A
$$16.3^oC$$

B
$$26.3^oC$$

C
$$40^oC$$

D
$$46.3^oC$$

Solution

Rate of cooling $$-\dfrac{dT}{dt} = \dfrac{K}{ms}(T-T_o)$$
$$\implies $$ $$ \dfrac{1}{2} = \dfrac{T_2-T_o}{T_1-T_o}$$
Given : $$T_1 = 50^o$$ $$T_o = 30^o$$
So, $$ \dfrac{1}{2} = \dfrac{T_2-30}{50-30}$$
$$\implies \ T_2 = 40^o$$
Question 6
1 / -0

The thermal radiations are similar to

A
$$X-$$rays

B
Cathode rays

C
$$\alpha -$$rays

D
Sound waves

Solution

The thermal radiations are similar to $$\alpha$$-rays
Hence, Option $$C$$ is correct answer.
Question 7
1 / -0

$$'n'$$ moles of an ideal gas undergoes a process $$A\rightarrow B$$ as shown in the figure. The maximum temperature of the gas during the process will be :

A
$$\cfrac{3P_{0}V_{0}}{2nR}$$

B
$$\cfrac{9P_{0}V_{0}}{2nR}$$

C
$$\cfrac{9P_{0}V_{0}}{nR}$$

D
$$\cfrac{9P_{0}V_{0}}{4nR}$$

Solution

$$\begin{array}{l} y-{ y_{ 1 } }=\dfrac { { { y_{ 2 } }-{ y_{ 1 } } } }{ { { x_{ 2 } }-{ x_{ 1 } } } } \left( { x-{ x_{ 1 } } } \right) \\ P-{ P_{ 0 } }=\dfrac { { 2{ p_{ 0 } }-{ p_{ 0 } } } }{ { { v_{ 0 } }2{ v_{ 0 } } } } \left( { V-2{ V_{ 0 } } } \right) \\ =\dfrac { { -{ P_{ 0 } } } }{ { { V_{ 0 } } } } \left( { V-2{ V_{ 0 } } } \right) \\ P=\dfrac { { -{ P_{ 0 } } } }{ { { V_{ 0 } } } } V+3{ p_{ 0 } } \\ PV=\dfrac { { -{ P_{ 0 } } } }{ { { V_{ 0 } } } } V+3{ p_{ 0 } }V \\ nRT=\dfrac { { -{ P_{ 0 } } } }{ { { V_{ 0 } } } } V+3{ p_{ 0 } }V \\ T=\dfrac { 1 }{ { nR } } \left( { \dfrac { { -{ P_{ 0 } } } }{ { { V_{ 0 } } } } { V^{ 2 } }+3{ p_{ 0 } }V } \right) \\ \dfrac { { dT } }{ { dV } } =0\, \, \left( { for\, \, \max \, \, \, temperature } \right) \\ \dfrac { { -{ P_{ 0 } } } }{ { { V_{ 0 } } } } 2V+3{ p_{ 0 } }=0 \\ \dfrac { { -{ P_{ 0 } } } }{ { { V_{ 0 } } } } 2V=-3{ p_{ 0 } } \\ V=\dfrac { 3 }{ 2 } { V_{ 0 } }\, \, \, \, \left( { condtion\, \, for\, \, \max \, \, temperature } \right) \\ { T_{ \max } }=\dfrac { 1 }{ { nR } } \left( { \dfrac { { -{ P_{ 0 } } } }{ { { V_{ 0 } } } } \times \dfrac { 9 }{ 4 } V_{ 0 }^{ 2 }+3{ p_{ 0 } }\times \dfrac { 3 }{ 2 } { V_{ 0 } } } \right) \\ { T_{ \max } }=\dfrac { 1 }{ { nR } } \left( { -\dfrac { 9 }{ 4 } { P_{ 0 } }{ V_{ 0 } }+\dfrac { 9 }{ 2 } { P_{ 0 } }{ V_{ 0 } } } \right) \\ =\dfrac { 9 }{ 4 } \dfrac { { { P_{ 0 } }{ V_{ 0 } } } }{ { nR } } \end{array}$$
Question 8
1 / -0

Air is filled in a motor tube at $$27^{o}C$$ and at a pressure of $$2$$ atmospheres. The tube suddenly bursts, then temperature of air is [Given $$\gamma$$ of air $$=1.251$$ ]

A
$$27.5^{o}K$$

B
$$75^{o}K$$

C
$$240^{0}K$$

D
$$150^{o}K$$

Solution

We get
$$\begin{array}{l} \dfrac { { { p_{ 1 } } } }{ { { T_{ 1 } } } } =\dfrac { { { p_{ 2 } } } }{ { { T_{ 2 } } } } \\ \Rightarrow \dfrac { 2 }{ { 300 } } =\dfrac { 1 }{ { { T_{ 2 } } } } \\ \Rightarrow { T_{ 2 } }=150K \end{array}$$
Hence, option $$D$$ is the correct answer
Question 9
1 / -0

Faulty thermo has its fixed pts marked 5g. what is correct temperature in celcius when it reads 5g?

A
$$ 45^0 $$

B
$$ 60^0 $$

C
$$ 75^0 $$

D
none
Question 10
1 / -0

The energy from the sun reaches the earth by

A
Conduction

B
Radiation

C
Convection

D
All the above

Solution

The process of the transfer of the heat from one place to another place without the need of a medium is called radiation. For example, the heat from the sun reaches the earth through radiation mode.
Since there is no medium in space , the heat energy from sun has to travel to earth without a medium which is a property of radiation.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Thermal Properties of Matter Test - 52

Result

Thermal Properties of Matter Test - 52

Score

-

Rank

-

SHARING IS CARING

Question 1

must always increase

will remain the same if the work done equals the heat added

must always decrease

will remains the same If change in internal energy equals the heat added.

Solution

Question 2

0.52 $$A_{0}$$

1.52 $$A_{0}$$

2.52$$A_{0}$$

3.52 $$A_{0}$$

Solution

Question 3

$$1 atm$$

$$4/5 atm$$

$$4/3 atm$$

$$3/4 atm$$

Question 4

Conduction

Radiation

Both conduction and convection

Neither conduction nor radiation

Solution

Question 5

$$16.3^oC$$

$$26.3^oC$$

$$40^oC$$

$$46.3^oC$$

Solution

Question 6

$$X-$$rays

Cathode rays

$$\alpha -$$rays

Sound waves

Solution

Question 7

$$\cfrac{3P_{0}V_{0}}{2nR}$$

$$\cfrac{9P_{0}V_{0}}{2nR}$$

$$\cfrac{9P_{0}V_{0}}{nR}$$

$$\cfrac{9P_{0}V_{0}}{4nR}$$

Solution

Question 8

$$27.5^{o}K$$

$$75^{o}K$$

$$240^{0}K$$

$$150^{o}K$$

Solution

Question 9

$$ 45^0 $$

$$ 60^0 $$

$$ 75^0 $$

none

Question 10

Conduction

Radiation

Convection

All the above

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.